868141120 has 168 divisors, whose sum is σ = 2597700672. Its totient is φ = 270504960.

The previous prime is 868141111. The next prime is 868141201. The reversal of 868141120 is 21141868.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 269439 + ... + 272641.

It is an arithmetic number, because the mean of its divisors is an integer number (15462504).

Almost surely, 2^868141120 is an apocalyptic number.

868141120 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 868141120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1298850336).

868141120 is an abundant number, since it is smaller than the sum of its proper divisors (1729559552).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

868141120 is a wasteful number, since it uses less digits than its factorization.

868141120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3249 (or 3228 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 31.

The square root of 868141120 is about 29464.2345904318. The cubic root of 868141120 is about 953.9598774196.

Adding to 868141120 its reverse (21141868), we get a palindrome (889282988).

The spelling of 868141120 in words is "eight hundred sixty-eight million, one hundred forty-one thousand, one hundred twenty".